Calculating or computing machine



Oct. 14 1924.

' J. W. CHASE CALCULATING OR COMPUTING MACHINE Filed July 24V 1922 3 Sheets-Sheet 1 INVENTOR Jolm WG/aqse.

J. W. CHASE CALCULATING 0R CQMPUTING MACHINE Oct. 14 1 924.

Fil ed July 24, 1922 s sheets-sheet 2 INVENTOR Joli/177671086.

Patented Oct. 14, 1924.

UNITED STATES JOHN W. CHASE, O1 BANGOR, MAINE.

CALCULATING OR- CO'MPUTING IVIACHINE.

Application filed July 24,

T 0 all whom it may concern Be it known that 1, JOHN W. CHASE, a citizen of the United States, residing at Bangor, in the county of Penobscot and State of Maine. have invented a certain new and useful Calculating or Computing Machine. of which the following is a specification.

My invention relates to a certain new and useful machine or apparatus for effecting computations and the invention generically seeks to provide a machine for mechanically effecting numerical or other computations wherein the range of computation possible is exceptioi'ially great in proportion to the size of the mechanism necessary to provide that ran e of computation. V

More specifically the invention resides in the provision of a simple, inexpensive, practical and exceedingly compact machine for making calculations of a desired nature, wherein is embodied a housing having an observation opening or window through which is' visible the whole or a portion of a plurality of hollow cylinders loosely mounted upon a central shaft having bearings within said housing, said cylinders being mounted one within another and each having a longitudinal slot in its face, the slots of the several cylinders being capable of being brought into register with one another and with the said observation opening and suitaile indic-ia upon the external face of each of the cylinders; the invention also resides in the provision of means for effecting a complete rotation of the central shaft. the provision of a. visible indi-- cator controlled locking and releasing means for securing together the central. shaft and such of the cylinders as it is desired to ro-- tate and for locking, to a stationary position, such of the cylinders as it is desired should remain stationary and for likewise releasing such cylinders from the locked position; the invention also resides in the provision of a radially adjustable indicator bar having indicia thereon and designed to cover such of the indicia upon the selected rotative cylinder as should not be visible and for attracting the observation to such of said indiciaas is necessary to the desired mechanically obtained calculation.

The invention furthermore has for its object the provision of an apparatus of the kind stated in which the indicia on the several cylinders are arranged in major and 1922. Serial No. 577,109.

minor columns and spaces, each major space having associated with it a plurality of horizontal and vertical columns, the number of horizontal columns and the number of vertical columns of each minor set of indicia corresponding in number to the number of slats on the indicator and to the number of locations on those slots, while all of the major indicia spaces cooperate with a single window in the indicator, whereby his 1 possible to keep the indiciaof the indicator comparatively widely separated one from another in a small areaor compass to thereby facilitate readings. while at the same time permitting avastly greater number of indicating units being placed on the cylinders of agiven size than would otherwise be possible: or in other words, it is an 0bect of my invention to make the apparatus as small in size as is possible and yet maintain as large. a separation between the various characters to be observed as possible in order to facilitate rapid calculations and prevent confusion of numbers which would occur were the units arranged on a small scale close together.

lVith the above objects in view and others which will be clear to those skilled in the art, the invention resides in those novel features of construction, combination and arrangement of parts, all of which will be first fully described and then be specifically pointed out in the appended claims, reference being bad to the accompanying drawings, in which:

Figure 1. is a detail perspective view of a complete tabulating machine embodying my invention.

l igure 2 is a central vertical longitudinal section of the left hand end and medial portion of the machine, parts being broken out and contracted.

Figure 3 is a view, similar to Figure 2, of the right hand end of the machine.

Figure 4- is a detail cross section taken on the, line l-4 of Figure 2 looking in the direction of the arrow.

Figure 5 is a detail plan view of the radially adjustable indicator bar, parts being broken out and the ends contracted.

Figure 6 is a detail section illustrating the manner of adjusting the indicator bar.

Figures 7 and 8 are diagrammatic cross sections of a portion of the cylinders illustrating certain adjusted positions of the indicator bar.

Figure 9 is a diagrammatic view illustrating the operation of the cylinder locking keys hereinafter referred to.

Figure 10 is a diagrammatic view illustrating the release of the. indicator bar to an exemplary plane of marking of the external faces of the cylinder, whereby con1- putation by multiplication is effected in manner hereinafter referred to.

Figure 11 is a detail section illustrating one manner in which the cylinders may be constructed.

In the drawings like numerals of reference indicate like parts in all of the figures and the cylinders are hereinafter described and illustrated as being marked peculiarly to enable or effect computation by multiplication, although itis to be understood that this is done solely to illustrate one means of utilizing my tabulating mechanism as it is evident; that other and different classes of calculations may be effected by: suitably changing the indicia or markings upon the external faces of the cylinders, without departing from the scope of the invention, as for. example the tabulation or indicia on the cylinders may be designed to effect computations by division or subtraction, if desired.

Referring now to the drawings, 1 represents a suitable housing for the mechanism. It includes an angled face 2 which is pro vided with an observation opening 3, the same being covered with any suitable transparent substance, thereby permitting the operator to view the desired pontions only of the mechanism within the housing.

Upon a hollow Cental shaft 4, which is suitably mounted in end bearings 5-5 that are fastened to the housing ends, are loosely mounted a plurality of cylinders closely nested one within another and capable of individual independent rotary motion. These cylinders are constructed of suitable light. thin material with the ends closed. The ends or hub portions of the cylinder may be substantially thicker than the circumferential portions. It is to be understood that the cylinders must be constructed one over another in sequence from the in nermost one thereof to the outermost one thereof and in the simple illustration there of in the drawings, the cylinders (ten bci shown) are represented by the numerals 6.. 7, 8, 9, 10, 11, 12, 13,14 and 15 in the order of their construction above described The cylinders may be made with one end inlegrail with the barrel of the cylinder and the other end plugged in and held by set screws or other suitable means see Figure ll). Each cylinder has key or looking slot-s provided in the hub ends thereof, which are adapted to register with the correspondii r slots of the other cylinders. The cylinders also have longitudinal observation slots 1? at their peripheries which are capable of registering one with another in the manner and for the purposes later understood. The circumferential faces of the cylinders are marked with the usual indicia to cooperate with the indicating mechanism in effecting the desired calculations.

Cooperating with the regist-sn'in5;- longitudinalobservation slots 17 is an indicator bar 18 having a series (three being shown) of indicating slats 19 so positioned as to provide a corresponding number of observation spaces or slots 20 below each of the slats and the bar 18 near its left handend, is provided with an observation aperture or window 2-1. iit each extreme end, projected beyond the outermost cylinder, the bar has secured ilhereto a casting 22 which mounted with the flat portion thereof in racially slidz'zble engagement with a retaining bearing secured to the housing pon tion 52 and each of said castings also includes a portion that carries a camming roller 24 for purpos s later understood (see Figures 5 and 6). p 7

its previously explained, the illustration herein made of a. multiplication type of calculator and in the same I make provision in the compact arranyement of mechanism shown for the multiplication of any number from one to one hundred and fifty times any number from one to one thousand so that the sums may be multiplied up to a total of one hundred and fifty thousand. The numerical arrangement for effecting this result will now be described and then a description given for the mechanism of effecting that result.

The indicating slats 19 of the bar 18 have marked thereon, in any suitable manner, the inscription numbers ranging consecutively from one to one hundred and fifty, fol lows to wit: one to fifty on the topmost one of the slats, fifty-one to one hundred on the medial one thereof and one hundred and one to one hundred and fifty on the lowermost one thereof (see Figure These numbers are indicative of the number being multiplied, in this waydue to the peculiar arrangement ofthe indicia on the circun'iferential faces of the cylinders (next to be described), the manner of mechanically iuanipulatins; said cylinders and the arrangement of he lon udinal slots in said cylinders, it possible, and suchtherefmre is the practice, for the operator to glance below the i ative number on the particular slat 19 upon which it is found, and there find the desired total. Thus'an operator who wish-es to find the result of one hundred and forty-sit; times twelve for example, would. after-manipulating the mechanism properly to bring; the major number one hundred and forty-six of the cylinder 'K into register with the observation window 21,

ion

glance below the numeral twelfi-Je on the topmost indicator slat l9 and there iind the total to be correctly one thousand seven bun dr ed and fifty-two.

The manner of marking the cylinder and the cooperative relation of said marking with the indicator bar markings described immediately above now follows :-The positioning of the markings upon the cylinders is regulated by the lateral limits of the innermost or smaller cylinder so that the markings as to spacing are in perfect radial alignment. The distance around the circumference of each cylinder from one edge of the slot 17 to the other edge thereof divided into one hundred (plus one for each observation slot more than one in indicator bar 18) equal horizontal spaces by lines 25 inscribed upon the cylinder horizontally to clearly mark such. spaces. As there are three observation slots in the indicator bar 18 in the embodiment of the invention shown, it will be seen that each cylinder should be divided into one hundred and two equal horizontal spaces. It should be here understood that the variations of width of these spaces due to the very slight relative difference of diameter of the outermost and innermost cylinders or those intervening, is so very slight as to be negligible and need not be considered. Suitably spaced from the extreme left of the innermost cylinder and at a point inexact radial alignment with each other cylinder is marked a circumferential line 26 in such manner that as it intersects each line 25 it forms (preferably) a square major space 27 so that, throughout the course of the line 26, one hundred and two such major spaces are thus formed at the left and around the circumference of each cylinder (see Figure 10). In the center of each of the first one hundred major spaces, on each cylinder, is placed a numeral (designated by the reference character 28). As there are tenv cylinders shown and one hundred numbered major spaces on each cylinder, it apparent that provision is made for one thousand such numerals. The numerals are placed as follows, to wit: one to one hundred on cylinder No. 6, one hundred and one to two hundred on cylinder No. 7, two hundred and one to three hundred on'cylinder No. 8, three hundred and one to four hundred on cylinder No. 9, four hundred and one to five hundred on cylinder No. 10, live hundred and one to sixhundred on cylinder No.

ll, six hundred and one to seven hundred on cylinder No. 12, seven hundred and one to eight hundred on cylinder No. 13, eight hundred and one to nine hundred on cylinder No. 14-, and nine hundred and one to one thousand on cylinder No. 15. These major numbers (indicated at 28) are also indica' tive of one of the numbers being multiplied and cooperate with the bar 18 and the numorals thereon in the proper locating of the desired total in the following manner:- The bar i8 mounted and actuated, by mechanism later to be described, that it always lies in very close relation with the particular cylinder being used, to thereby render it impossible to glance upon an erroneous total and to cause the correct total to always appear in the same correct relation to the indicative numeral upon the respec tive slats 19 of the bar 18. It will also be seen that the bar 18, resting in the position desired has its observation aperture 21 in perfect radial alignment with the indicative numerals 28 so that the latter ma; be brought to perfect view therethrough (see Figure 10). That area of each cylinder to the right of the major spaces 2'? is divided into minor spaces 29, (fifty innumber) to correspond with tne positioning of the indicative numerals on the slats 19 of the bar 18. These last named spaces are formed by circumferential lines 30 drawn at intervals apart from the line 26. The. minor spaces 29 are again divided each into three subspaces by the longitudinal lines 32 (see Figure 10) and in these last named spaces are inscribed the proper totals in proper relation with the indicative numerals the multiplicat-ion whereof they are the results, as shown in said figure. Inasmuch as the full, illustration of all of the cylinders is but the compilation of simple multiplication results, it is thought suflieient toillustrate the mode or arrangement of a portion of one of the cylinders and this is done in Figure 10 wherein is shown a. portion of the layout of the first or innermost cylinder with the proper relation thereto of the bar (18 being shown by the shaded area). By reference to Figure 10, it will be observed that the width of the bar 18 is approximately equiva lent to four of the major spaces 2'? and that. the mechanism has been properl operated to bring the major spaces of the innermost cylinder, which carries the major numeral 6, to such position as to cause the said numeral to a-p 'iear through the observation window 21 which indicates that the operator is multiplying 6, by some indicative numeral on the bar 18, say for example the numeral 3 on the'upper slat 19. With the parts positioned as shown, the operator glances below the indicativenunu ral 3 and beholds the correct total to be 18. It will be seen from a careful study of Fig me 10 that the result of multiplying any given major number by an indicative number found upon the uppermost slat- 19 will be found in the first or uppermost one of the one-third division. spaces 31 under that indicative number and to the right of and between the lines 25 confining that major number. To multiply that same major number by a given indicative number on the medial slat 19, the result. will be found below the indicative number but in the second or medial one of the one-third division spaces 31 between the lines confining the next succeeding major numeral and to multiply'l that same first mention d numeral by a given number on the lowermost slat 19, the result will be found below that indicative number but in the third or lowermost one of the one-third division spaces between the lines 25 confning the second major number subsequent to or below the one we are multiplying. Thus it is that all of the totals of a given major number are not found right in horizontal alignment with the major number being multiplied but part of the same are found under the proper spaces of the two succeeding major numbers or in their proper spaces in the succeeding un numbered major spaces. Thus it is that the mere relation of the bar 18 and the major number being multiplied causes the correct totals to appear in correct position beneath the indicative numbers on the bar 18.

In order to manipulate the parts of the machine to achieve. the necessary cylinder and indicator bar shifting for accomplishing the above results, the following mechanism is employed :-For suitably locking the various cylinders to rotate with the central shaft, when the same is manually rotated in a manner soon to be described, a pair of elongated key plates 33--33 are employed to cooperate with the key slot- 16 in the cylinder hubs. These keys 83-33 are. longitudinally slidably mounted in slots provided for them in the shaft 4 and they are oined at their inner ends by a toggle mechanism 34 in such manner that both keys operate in unison (see Figures 2, 3 and 9). These keys are always in engagement with the slot 16 of the inner cylinder 6 and, therefore, that cylinder rotates whenever the shaft rotates and does not need to be thrust into gear. A bolt 35 is connected to each key 83 and slides in and extends out of the hollow ends of the shaft 4. The bolt 35 at the left hand end of the shaftdoes not rotate with the shaft but is swivelly connected with the key 4 as at 47. This bolt 35 at the left hand end of the shaft has a stud pin 36 made first to its projecting end and the said stud has rigid connection with the key actuating mecha nism 37 that projects up through the casing or housing face 2, where it is provided with a suitable indicator for designating the point to which it, and the keys connected therewith, should be moved to lock into rotative relation the desired cylinder. It will clearly be seen that by moving this mechanism 37 to the right or left, the keys are moved outward to lock or inward to release the proper cylinder (see Figures 2 and When the proper cylinder has been locked in rotati-ve relation to the shaft, as above described, the shaft is now turned in the proper direction to bring to view the proper major number. To provide for the proper rotation of the shaft, it is provided adjacent its left hand end with a small spur gear 38 in mesh with. a sliding rack 39 which is operable by a lever 40 projecting through a limiting slot in the side of the housing 1., as will clearly appear by reference to Figures 2 and 4 The rack 39 is slidable in a suitable guide 42. To hold those cylinders stationary, which should not rotate, while the remainder of the cylinders are rotating, 1 provide a retaining key 43 which is loosely mounted upon the shouldered end of the bolt 35 at the right hand side of the machine and is secured thereto by a nut 44. The key 43 does not rotate with the shaft 35 but is provided with retaining fingers which project through slots provided therefor in the adjacent bearing 5 for the purpose of bold ing the key against rotation under the urge of the shaft 4. The fingers of the key extend to the cylinder keyways l6 and follow the rotating locking key 33 as it passes out of engagement with and releases from rotation the successive cylinder hubs and thereby holds the cylinders, thus released, from rotation and in proper alignment.

.Vhile it is desirable to have the bar 18 project down into the longitudinal slots 17 in the cylinders so as to he in very close proximity with that cylinder being operated, it also follows that the position of that bar must be changed in order to allow another larger cylinder to pass and also to change position to be in proper relation to the last cylinder changed. The automatic effecting of such change of position is accomplished in the following manner The projecting end of the left hand bolt 35 (Figure 2) and the extreme right hand end of the retaining key 43 (Figure 8) each have projecting therefrom an extension 'bar 45 having a cam head 46 that is adapted to engage the cam roller 24 at the respective ends of the bar 18. By reason of the outward and inward sliding action. of the said bolts and keys, it is possible to properly adjust the position of the said bar with relation to the cylinder last locked.

0 pemtz'on.

Assume that the operator desires to multiply the number 43 by the number 3, no setting of the cylinder locking devices need be made since the major number 43 is located in the proper major space at the left of the innermost cylinder 6 and this cylinder always remains in locked relation to the shaft 4 and turns with it. Therefore,

to find the desired result, it is only necessary to pull forward on the rack operating lever 40, thereby rotating the innermost cylinder in the direction of the arrow on Figure 4. This manual rotation is continued until the desired ma or number 43 appears through the observation aperture 21 in the bar 18, when the rotation is stopped; with the parts thus positioned, it is only necessary to glance directly below the indieative number 8 on the proper slat 19 and the proper total number 129 will appear.

The same operation is carried out for the calculation of any of the range of results, except that in using the cylinders 7 to 15, inclusive, which carry in series of one hundred each, the major numbers from one hundred and one to one thousand, the operator first manipulates the key actuating mechanism 37 (the same being provided with any suitable means for indicating the cylinder being locked, such as a pointer or finger slidable over a dial) to bring the proper cylinder into rotative relation with the shaft and at the same time holding all of the cylinders of larger diameter out of rotative relation and in proper relation for registering the observation slots 17 thereof. Thus in order to multiply any number from one to one sired to multiply the selected major number to find the correct result of such calculation.

The slideway 41 for the rack lever 40 limits the movements of that lever and it is to be understood that, when the said lever is pushed back to abut the end of said slot farthest from the operator, the parts are in position for holding all of the cylinders with all their observation slots 17 in register (see Figure 4:).

From the foregoing description, taken in connection with the accompanying drawings, it is thought the complete construction, operation and advantages of the invention, together with the manner of using the same, will be clear to those skilled in the art to which the invention appertains.

What I claim is:

1. In a calculating machine, a plurality of nested cylinders having suitable indicia on their peripheries and each having a longitudinal slot, an indicator, means for selecting a cylinder and for bringing it into proper corelation with said indicator, the sa1d selecting means including devices for holding stationary the cylinders surrounding the selected cylinder and for moving the remainder of the cylinders with said selected cylcylinder surrounding the selected cylinder and for moving the remainder of the cylinders with said selected cylinder, and cam devices carried by said selecting means and adapted to move the said indicator to cooperate with the particular selected cylinder.

3. In a calculating machine, a plurality of nested cylinders having suitably ruled lines and spaces provided with indicia around the periphery of each cylinder and each of said cylinders having a longitudinal slot at its periphery and radial slots merging therewith at the ends of the cylinder, a shaft on which said cylinders are mounted, an indicator cooperating with said cylinders and including a bar to operate in the slots of the cylinders, said bar having indicia to cooperate with the indicia of said cylinders, means for turning said shaft, means for engaging the cylinders at both ends thereof for selectively locking a'particular cylinder and those within the same to said shaft, to turn therewith, means for holding the remainder of the cylinders stationary, and means for positioning saidindicator bar in the slots of the said cylinders held stationary to cooperate with the particular selected cylinder.

4. In a calculating machine, a plurahty of nested cylinders having suitably ruled lines and spaces provided with indicia around the periphery of each cylinder and each of said cylinders having a longitudinal slot at its periphery and radial slots merging therewith at the ends of the cylinder, a shaft on which said cylinders are mounted, an indicator cooperating with said cylinders and including a bar to operate in the slots of the cylinders, said bar having indicia to cooperate with the indicia of said cylinders, means for turning said shaft, key devices adapted to engage the cylinders at both ends thereof for selectively locking a particular cylinder and those within the same to the shaft to turn therewith, toggle lever and link devices for causing the keys to turn in unison, means for holding the remainder of the cylinders stationary, and means for positioning said indicator bar in the slots of the said cylinder held stationary to cooperate with the particular selected cylinder.

5. In a calculating machine, a plurality of nested cylinders having suitably ruled lines and spaces provided with indicia around the periphery of each cylinder and each of said cylinders having a longitudinal slot at its periphery and radial slots merging therewith at the ends of the cylinder, a shaft on Which said cylinders are mounted, an indicator cooperating With said cylinders and including a bar to operate in the slots of the cylinders, said bar having indicia to cooperate With the indicia of said cylinders, means for turning said shaft, key devices adapted to engage the cylinders at both ends thereof for selectively locking a particular cylinder and those Within the same to the shaft to turn therewith, toggle leyer and link devices for causing said keys to move in unison, means for engaging the cylinders at both ends thereof for selectively looking a particular cylinder and those ithin the same to said shaft to turn therewith, other key devices for holding the cylinders surrounding the selected cylinder stationary, cam devices for positioning said indicator bar in the slots of said cylinders held stationary to cooperate with the selected cylinder, and elements moved by but not rotatable With the locking keys for ctuating the said cam devices.

6. In a calculating machine, a casing having a sight opening, a plurality of nested cylinders in-said casing, a shaft on which said cylinders are mounted, means to turn said shaft, shiftable key elements carried by said shaft and adapted to connect the se lected cylinders to rotate with said shaft While holding the others stationary, said key elements comprising keys slidably on the shaft adjacent each end of the cylinders and adapted to engage key Ways in the ends of the cylinders, other keys adapted to engage 'said key Ways at times, means for holding said other keys against rotation With the shaft, means to simultaneously operate all of said keys to lock certain cylinders to the shaft and lock the other cylinders, outside of the selected ones, against rotation, and means to turn said shaft, said cylinders having suitably ruled lines and spaces containing indicia and also having slots in radial alignment Which are visible through said sight openin 7. In a calculating madhine, a plurality of nested cylinders each having suitably ruled lines and spaces to provide an annu lar set or row of major indicia, and a plu rality of sets of annular columns and longitudinal roWs of minor spaces having minor indicia therein, said cylinders each having a longitudinal slot in its periphery, the slots of the several cylinders adapted to register radially one With another and with said sight opening, and an indicator including a bar adapted to lie in and move radially in said slots to cooperate with a selected cylinder, said indicator bar having slats pro viding slots and being provided with suit able indicia cooperative With theminor series of indieia of the cylinders and having a Window to expose one of the minor indicia of the cylinders, and means for rotating a selected cylinder to expose its indicia to the slots of the cylinders outside of the selected one, and means to simultaneously set said indicator in the cylinder slots to cooperate with the selected cylinder to expose the major indicia and certain selected rows of minor indicia.

8. In a calculating devices, a table comprising a surface provided With suitably ruled lines and spaces providing a vertical I'OW of major spaces to contain major indicia, and a pluralityv of parallel vertical columns and horizontal rows of minor spaces to contain minor indicia, there being a plurality of horizontal rows of minor spaces for each major space, and an indicator adapted to lie over said surface, said surface and said indicator having a relative movement, said indicator having'a window to expose'one major space and a number of slots to expose a plurality of minor rows of spaces, there being as many'slots in the indicator as there are horizontal rows of minor spaces per major space for the purposes specified.

9. In a calculating device, a table comprising a surface provided with suitably ruled lines and spaces providing a vertical row of major spaces to contain major indicia, and

a plurality of parallel vertical columns and horizontal rows of minor spaces to contain minor indicia, there being a plurality of horizontal rows of minor spaces for each major space, and an indicator adapted to lie over said surface, said surface and said indicator having a relative movement, said indicater having a Window to expose one major space and a number of slots to expose a plurality of minor iOWS of spaces, there being as many slots in the indicator as there are horizontal rows of minor spaces per major space, the slots of said indicator being adapted to uncover one horizontal row of minor spaces at the side of each of a number of major spaces adjacentto that Whose indicia is exposed through the window of said indicator.

' 10. In a calculating device, a table comprising a surface provided with suitably ruled lines and spaces providing avertical row of major spaces to contain major indicia,

and a plurality of parallel vertical columns and horizontal. rows of minor spaces to contain minor indicia, there beings plurality of horizontal. rows of minor spaces for each major space, some of which are related to the said major space and others of which are related to otliers of the major spaces, and an indicator adapted to lie over said surface, said surface and said indicator having a rel ative movement, said indicator having a WlIlClOW to expose one major space and a number of slots to expose a plurality of minor rows of spaces, there being as many slots in the indicator as there are horizontal rows of minor spaces per major space for the purposes specified.

11. In a calculating device, a table comprising a surface provided with suitably ruled lines and spaces providing a vertical row of major spaces to contain major indicia, and a plurality of parallel vertical columns and horizontal rows of minor spaces to con-- tain minor indicia, there being plurality of horizontal rows of minor spaces for each major space, some of which are related to the said major space and others of which are related to others of the major spaces, and an indicator adapted to lie over said surface, said surface and said indicator having a relative movement, said indicator having a window to expose one major space and a number of slots to expose a plurality of minor rows of spaces, there being as many slots in the indicator as there are horizontal rows of minor spaces per major space, the slots of said indicator being adapted to un cover the horizontal rows of minor spaces re lated to and at the side of the major space whose indicia are exposed through the win dow of said indicator and those at the side of the adjacent major spaces and related to said exposed indicia.

12. In a calculating device, a table comprising a body having a row of major spaces containing consecutive series of indicating numbers, said body having a plurality of longitudinal and vertical rows of minor spaces at the side of each major space, there being three horizontal rows of minor spaces adjacent to each major space, the top row of which contains in horizontal consecutive series the multiples of the major numbers adjacent thereto, an indicator comprising a bar with a window to expose one major space and with a slot to expose a horizontal rows of minor spaces adjacent to the exposed major space which contains the multiples of the major numbers, said indicator bar being provided with other slots to expose other horizontal rows of minor spaces f two adjacent groups of minor spaces, said indicator having indicating numbers adjacent its slots related to the indicia in the ex posed row of minor spaces, all of said minor spaces having suitable indicia substantially as shown and described.

l3. In a calculating apparatus, a table having suitably ruled longitudinal and transverse lines dividing the table into one hundred and two major spaces arranged in one column and a plurality of minor spaces arranged in groups of three horizontal rows and fifty vertical columns; the first hori zontal row of each group containing multiples of the major numbers adjacent thereto, an indicator held over said table and having a window to expose one major number and slots running from one to fifty along thefirst slot, from fifty-one to one hundred along the second slot and from one hundred and one to one hundred and fifty along the third slot, said indicating numbers aligning with the minor spaces of said table ex posed, the second slot of said indicator exposing the mid lle row of minor numbers adjacent to the major numbers next below that major number which sho e through the window, while the third slot ofsaid indicator exposes the bottom row of minor munbers adjacent to the or numbers which is second below that major number showing through said window, said second and third exposed rows of minor numbers having indicia corresponding to the product of the major number exposed by the indicator number above the minor number exposed.

14:. In a calculating machine, a casing having a horizontal sight opening, a shaft mounted in bearings in said casing parallel to the sight opening, a plurality of nested cylinders having suitable indicia on their peripheries mounted on said shaft and having key ways, a pair of sliding keys on said shaft to turn with the same and adapted to be shifted into locking engagement with one or more of the said cylinders to thereby lock one or more of the said cylinders to the shaft, means for rotating said shaft, means for shifting said keys into and out of position to lock the selected cylinders to the shaft and means for holding the remaining cylinders against rotation with the shaft for the purposes specified.

15. An apparatus of the class described, a plurality of nested cylinders, a shaft held in axial alignment through said cylinders, said cylinders having key ways at their ends, sliding keys mounted on and turning with said shaft, link and lever devices connecting said keys to operate in unison, devices for operating said keys, said cylinders each having a longitudinal slot, the slot of one adapted to register with the slot of another cylinder, an indicator bar movable in said slot toward and from the axis of the cylinders, means for moving said bar in harmony with the movement of the keys whereby said bar will be located in operative relation to the selected cylinders, means for turning the shaft to turn the cylinders engaged by the keys, and another means for holding the unselected cylinders stationary while turning the selected cylinders, said :ey operating devices including a bolt connecting with one of said keys and longitudinally slidable in the shaft and means for imparting longitudinal movement to said bolt.

16. An apparatus of the class described, a

plurality of nested cylinders, a shaft held in axial alignment through saidcylinders, said cylinders having key Ways at their ends sliding lzeys mounted on and turning With said shaft, link and lever devices connecting said keys to operate in unison, devices for operating said keys, said cylinders each having a longitudinal slot, the slot of one adapted to register With the slot of another cylinder, an indicator bar movable in said slot toward and from the axis of the cylinders means for moving said bar in harmony With the movement of the keys whereby said bar Will be located in operative rela- 15 tion to the selected cylinders, means for eluding (ramming elements connected with 25 said bolt whereby the movement of the bolt Will be translated and imparted to said indicater.

Jenn W CHASE. 

